topic badge
iGCSE (2021 Edition)

1.08 Significant figures

Worksheet
Count significant digits
1

State the number of significant figures in the following numbers:

a
108\,486
b
5105
c
0.20
d
10.20
e
84.00
f
0.007\,193\,0
g
0.004\,58
h
2.0058
2

State the smallest possible number of significant figures in the following numbers:

a
1\,500\,000
b
26\,500
c
1\,060\,000
d
82\,420\,000
3

A rainfall gauge has markings every 10\text{ mL}. If 369\text{ mL} of rain fell in this gauge, to how many significant figures would the rain be recorded?

4

Beth just bought a house for \$858\,400. When asked for the price by her friend, she said she paid around \$860\,000. To how many significant figures did Beth round the price in her answer?

5

A number has been rounded to two significant figures. If the rounded number is 4500, find the largest possible value of the original number.

Round with significant figures
6

Consider the number 1083.

a

Round 1083 to:

i

One significant figure

ii

Two significant figures

b

Find the difference between these two rounded values.

7

Round the following numbers to two significant figures:

a
2584
b
10\,694
c
9249
d
215.99
e
0.7218
f
0.0297
g
4.95
h
0.006\,037\,736
8

Round the following numbers to three significant figures:

a
1771
b
461\,585
c
6484
d
20\,994
e
9248
f
539.99
g
0.5628
h
0.073\,582
9

Round the following numbers to four significant figures:

a
801\,600\,713
b
0.060\,070\,047
c
11.8483
d
2.159\,76
e
4.504\,13
f
1.599\,64
g
90.0335
h
0.598\,71
i
41.5005
j
9.9996
k

0.093\,845

l

808.5042

10

Round the following numbers to five significant figures:

a
5.659\,64
b
5.600\,96
c
12.006\,65
d
39.999\,95
e

7.034\,500

f

0.041\,454\,9

g

99.097\,906

h

9.999\,99

11

Round 7231.0108 to five significant figures.

12

Use your calculator to round the following to three significant figures:\dfrac{\left(9.45\right)^{9} + 8 \pi}{\sqrt{\left(\dfrac{3}{2} + 5^{2}\right)}}

Sign up to access Worksheet
Get full access to our content with a Mathspace account

Outcomes

0607C1.11

Estimating, rounding, decimal places and significant figures.

0607E1.11

Estimating, rounding, decimal places and significant figures.

What is Mathspace

About Mathspace